A network-based dynamical ranking system for competitive sports

Scientific Reports

Volumn 2, Issue , 2012, Pages

  Motegi, Shun ^a   Masuda, Naoki ^a,b  

^a UNIVERSITY OF TOKYO   (Japan)

^b JAPAN SCIENCE AND TECHNOLOGY AGENCY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; COMPETITIVE BEHAVIOR; HUMAN; SPORT;

COMPETITIVE BEHAVIOR; HUMANS; SPORTS;

EID: 84871787218     PISSN: None     EISSN: 20452322     Source Type: Journal    
DOI: 10.1038/srep00904     Document Type: Article

References (32)

1. Stefani, R. T. Survey of the major world sports rating systems. J. Appl. Stat. 24, 635-646 (1997). (Pubitemid 127661904)
2. Daniels, H. E. Round-robin tournament scores. Biometrika 56, 295-299 (1969).
3. Moon, J.W. & Pullman, N. J. On generalized tournamentmatrices. SIAM Rev. 12, 384-399 (1970).
4. Borm, N. E., Brink, R. V. D. & Slikker, M. An iterative procedure for evaluating digraph competitions. Ann. Operat. Res. 109, 61-75 (2002). (Pubitemid 37132286)
5. Saavedra, S., Powers, S., McCotter, T., Porter, M. A. & Mucha, P. J. Mutuallyantagonistic interactions in baseball networks. Physica A 389, 1131-1141 (2010).
6. Radicchi, F.Who is the best player ever?Acomplex network analysis of the history of professional tennis. PLoS ONE 6, e17249 (2011).
7. Callaghan, T., Mucha, P. J. & Porter, M. A. The bowl championship series: a mathematical review. Notices of the Am. Math. Soc. 51, 887-893 (2004). (Pubitemid 41647524)
8. Herings, P. J. J., van der Laan, G. & Talman, D. The positional power of nodes in digraphs. Soc. Choice Welfare 24, 439-454 (2005). (Pubitemid 41240191)
9. Park, J. & Newman, M. E. J. A network-based ranking system for US college football. J. Stat. Mech. P10014 (2005).
10. Holme, P. & Saramäki, J. Temporal networks. Phys. Rep. 519, 97-125 (2012).
11. Tang, J., Musolesi, M., Mascolo, C., Latora, V. & Nicosia, V. Analysing information flows and key mediators through temporal centrality metrics. In Proceedings of the 3rd Workshop on Social Network Systems (2010).
12. Pan, R. K. & Saramäki, J. Path lengths, correlations, and centrality in temporal networks. Phys. Rev. E 84, 016105 (2011).
13. Grindrod, P., Parsons, M. C., Higham, D. J. & Estrada, E. Communicability across evolving networks. Phys. Rev. E 83, 046120 (2011).
14. Elo, A. E. The Rating of Chess Players. Past & Present (Arco, New York, 1978).
15. Bradley, R. A. Science, statistics, and paired comparisons. Biometrics 32, 213-232 (1976).
16. Glickman, M. E. Paired comparison models with time-varying parameters. PhD Dissertation. Department of Statistics, Harvard University, Cambridge (1993).
17. Fahrmeir, L. & Tutz, G. Dynamic stochastic models for time-dependent ordered paired comparison systems. J. Amer. Stat. Asso. 89, 1438-1449 (1994).
18. Glickman, M. E. Parameter estimation in large dynamic paired comparison experiments. J. R. Stat. Soc. Ser. C 48, 377-394 (1999).
19. Knorr-Held, L. Dynamic rating of sports teams. J. R. Stat. Soc. Ser. D 49, 261-276 (2000).
20. Coulom, R. Whole-history rating: a Bayesian rating system for players of timevarying strength. LNCS 5131, 113-124 (2008).
21. Herbrich, R., Minka, T. & Graepel, T. TrueSkillTM: a Bayesian skill rating system. Advances in Neural Information Processing Systems 19, 569-576 (2007).
22. Dixon, M. J. & Coles, S. G. Modelling association football scores and inefficiencies in the football betting market. J. R. Stat. Soc. Ser. C 46, 265-280 (1997).
23. http://www.atpworldtour.com (date of access: October 1, 2011).
24. Martinich, J. College football rankings: do the computers know best? Interfaces 32, 85-94 (2002).
25. Ben-Naim, E., Vazquez, F. & Redner, S. Parity and predictability of competitions. J. Quantitative Analysis in Sports 2 (4), article 1 (2006).
26. Lundh, T. Which ball is the roundest? - a suggested tournament stability index. J. Quantitative Analysis in Sports 2 (3), article 1 (2006).
27. Park, J. Diagrammatic perturbation methods in networks and sports ranking combinatorics. J. Stat. Mech. P04006 (2010).
28. Coleman, B. J. Minimizing game score violations in college football rankings. Interfaces 35, 483-496 (2005). (Pubitemid 43011654)
29. Brin, S. & Page, L. Anatomy of a large-scale hypertextual web search engine. Proceedings of the Seventh International World Wide Web Conference 107-117 (1998).
30. Kendall, M. G. A new measure of rank correlation. Biometrika 30, 81-93 (1938).
31. Fagin, R., Kumar, R. & Sivakumar, D. Comparing top k lists. SIAM J. Disc. Math. 17, 134-160 (2003).
32. McCown, F. & Nelson, M. L. Agreeing to disagree: search engines and their public interfaces. In Proceedings of the 7th ACM/IEEE-CS Joint Conference on Digital Libraries 309-318 (2007). (Pubitemid 350157998)